Least Common Multiple (LCM) of 143 and 114
The least common multiple (LCM) of 143 and 114 is 16302.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 143 and 114?
First, calculate the GCD of 143 and 114 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 143 ÷ 114 = 1 remainder 29 |
| 2 | 114 ÷ 29 = 3 remainder 27 |
| 3 | 29 ÷ 27 = 1 remainder 2 |
| 4 | 27 ÷ 2 = 13 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 177 and 19 | 3363 |
| 188 and 65 | 12220 |
| 12 and 10 | 60 |
| 145 and 68 | 9860 |
| 199 and 49 | 9751 |